3. For the given second-order system specifications below, find the location of the second-order pair of poles and the value of damping ratio and natural frequency: %OS = 10%; T, = 5 seconds

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3. For the given second-order system specifications below, find the location of the second-order pair of poles and
the value of damping ratio and natural frequency:
%OS = 10%; T, = 5 seconds
4. Given the system below:
3
R(s)
C(s)
5s
4
a. Determine the transfer function, C(s)/R(s) using block diagram reduction.
b. Convert it to signal flow graph and solve for the transfer function C(s)/R(s) using Mason's Rule.
c. Determine the poles and nature of the response. Plot the poles on the s-plane.
Transcribed Image Text:3. For the given second-order system specifications below, find the location of the second-order pair of poles and the value of damping ratio and natural frequency: %OS = 10%; T, = 5 seconds 4. Given the system below: 3 R(s) C(s) 5s 4 a. Determine the transfer function, C(s)/R(s) using block diagram reduction. b. Convert it to signal flow graph and solve for the transfer function C(s)/R(s) using Mason's Rule. c. Determine the poles and nature of the response. Plot the poles on the s-plane.
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